385407 has 24 divisors (see below), whose sum is σ = 645840. Its totient is φ = 218880.

The previous prime is 385403. The next prime is 385417. The reversal of 385407 is 704583.

It is not a de Polignac number, because 385407 - 2² = 385403 is a prime.

385407 is a modest number, since divided by 407 gives 385 as remainder.

385407 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (385403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1569 + ... + 1797.

It is an arithmetic number, because the mean of its divisors is an integer number (26910).

2³⁸⁵⁴⁰⁷ is an apocalyptic number.

385407 is a deficient number, since it is larger than the sum of its proper divisors (260433).

385407 is a wasteful number, since it uses less digits than its factorization.

385407 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 263 (or 260 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 385407 is about 620.8115656139. The cubic root of 385407 is about 72.7734894214.

It can be divided in two parts, 38 and 5407, that added together give a palindrome (5445).

The spelling of 385407 in words is "three hundred eighty-five thousand, four hundred seven".